100233200001330 has 384 divisors, whose sum is σ = 296233947636480. Its totient is φ = 24097716403200.

The previous prime is 100233200001241. The next prime is 100233200001353. The reversal of 100233200001330 is 33100002332001.

100233200001330 is a `hidden beast` number, since 1 + 0 + 0 + 2 + 332 + 0 + 0 + 0 + 0 + 1 + 330 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 4748802637 + ... + 4748823743.

It is an arithmetic number, because the mean of its divisors is an integer number (771442571970).

Almost surely, 2^{100233200001330} is an apocalyptic number.

100233200001330 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 100233200001330, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (148116973818240).

100233200001330 is an abundant number, since it is smaller than the sum of its proper divisors (196000747635150).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

100233200001330 is a wasteful number, since it uses less digits than its factorization.

100233200001330 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22343 (or 22326 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 18.

Adding to 100233200001330 its reverse (33100002332001), we get a palindrome (133333202333331).

The spelling of 100233200001330 in words is "one hundred trillion, two hundred thirty-three billion, two hundred million, one thousand, three hundred thirty".